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Simplifying 5(u + 9) = -3u + -19 Reorder the terms: 5(9 + u) = -3u + -19 (9 * 5 + u * 5) = -3u + -19 (45 + 5u) = -3u + -19 Reorder the terms: 45 + 5u = -19 + -3u Solving 45 + 5u = -19 + -3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3u' to each side of the equation. 45 + 5u + 3u = -19 + -3u + 3u Combine like terms: 5u + 3u = 8u 45 + 8u = -19 + -3u + 3u Combine like terms: -3u + 3u = 0 45 + 8u = -19 + 0 45 + 8u = -19 Add '-45' to each side of the equation. 45 + -45 + 8u = -19 + -45 Combine like terms: 45 + -45 = 0 0 + 8u = -19 + -45 8u = -19 + -45 Combine like terms: -19 + -45 = -64 8u = -64 Divide each side by '8'. u = -8 Simplifying u = -8
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